XYZ stock is traded at $95.Currently, given a pair of call and put options with the same maturity of 3 months and the same strike price at $95.The call option is $0.75 more expensive than the put option.(Assume all the interest rates are continuously compounded.)

a)What should be the 3-month risk-free interest rate implied in the options market?

b)If the 3-month risk-free rate is 2.5% in money markets, could you find any arbitrage opportunities?(Assume market is frictionless and the interest rate is continuously compounded.)